Scala analysis: 704_S13

  0:          1/1               0.000000 unison, perfect prime
  1:        100.158 cents     100.158340
  2:        213.452 cents     213.452440
  3:        498.176 cents     498.176460

  0:        284.7240 cents    284.7240
  1:        100.1583 cents    100.1583
  2:        113.2941 cents    113.2941
  3:        284.7240 cents    284.7240

Interval class, Number of incidences, Size:
  1:   1 100.15834 cents
  1:   1 113.29410 cents
  1:   1 284.72402 cents
  2:   1 213.45244 cents
  2:   1 384.88236 cents
  2:   1 398.01812 cents
Highest number of different intervals for one interval class: 3
Average number of different intervals per interval class: 3.00000 = 3

        1     2     3    
 0.0  : 100.2 213.5 498.2
 100.2: 113.3 398.0 498.2
 213.5: 284.7 384.9 498.2
 498.2

Interval class, Interval span, Span size, Gap to prev. class:
  1:  100.1583  .. 284.7240 cents      184.56568 cents                    100.15834 cents
  2:  213.4524  .. 398.0181 cents      184.56568 cents                   -71.27158 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 100.15834 cents, class 1
Average step (divided formal octave): 166.0588 cents
Largest one step interval           : 284.72402 cents
Average / Smallest step             : 1.657963
Largest / Average step              : 1.714597
Largest / Smallest step             : 2.842739
Median interval of one step         : 113.29410 cents, amount: 1
Least squares average step          : 144.39947 cents, oct.:  433.19841 cents
Scale is not proper
Scale has trivalence property
Scale is a mode of a 1328-tone equal temperament with octave  498.176 cents
  degrees: 267 569 1328
Least number of segments generator  : 665 of 249.463 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 1061 of 398.016 cents and inv.
  generated superset size: 28 = 25 more = 933.333%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABC
Step pattern size order : SML
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 71.27158 cents
Scale diversity                     : 1.125425
Lumma stability                     : 0.402100
Lumma impropriety factor            : 0.143065
Rothenberg efficiency               : 0.666667   redundancy: 0.333333
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 6 = 3.00000 / class
Number of one step interval sizes   : 3
Highest interval variety            : 3
Mean interval variety               : 3.00000 = 3
Median interval variety             : 3
Lowest interval variety             : 3
Smallest interval difference        : 13.13576 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Steps are strictly increasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions with margin 171.4299 cents:
 2
-- Rational properties --

  3:  0 1 2   N G T3   SD: 63.9736 c. M: 100.1583 c. 
  4:  1 1 2   P M ME S SD: 24.9304 c. M:-35.6358 c. 
  5:  1 1 3   N M DE S SD: 8.1935 c. M: 14.1819 c. 
  9:  2 2 5   N M DE S SD: 7.6289 c. M:-10.5475 c. 
 14:  3 3 8   N M DE S SD: 3.8070 c. M:-6.5938 c. 
 19:  4 4 11   N M DE S SD: 3.4608 c. M:-4.7209 c. 
 21:  4 5 12   N   T3   SD: 3.0414 c. M: 5.2676 c. 
 26:  5 6 15   N   T3   SD: 2.9541 c. M: 4.3552 c. 
 30:  6 7 17   N   T3   SD: 1.4317 c. M:-2.4240 c. 
 35:  7 8 20   N   T3   SD: 0.3035 c. M: 0.5230 c. 
 119: 24 27 68   N   T3   SD: 0.1839 c. M:-0.3142 c. 
 154: 31 35 88   N   T3   SD: 0.0775 c. M:-0.1239 c. 
 189: 38 43 108   N   T3   SD: 0.0300 c. M:-0.0518 c. 
 721: 145 164 412   N   T3   SD: 0.0345 c. M:-0.0518 c. 
 726: 146 165 415   N   T3   SD: 0.0306 c. M: 0.0463 c. 
 761: 153 173 435   N   T3   SD: 0.0241 c. M: 0.0418 c. 
 796: 160 181 455   N   T3   SD: 0.0253 c. M: 0.0376 c. 
 915: 184 208 523   N   T3   SD: 0.0195 c. M: 0.0260 c. 
 950: 191 216 543   N   T3   SD: 0.0134 c. M: 0.0232 c. 
 985: 198 224 563   N   T3   SD: 0.0155 c. M: 0.0205 c. 
 1104: 222 251 631   N   T3   SD: 0.0129 c. M:-0.0184 c. 
 1139: 229 259 651   N   T3   SD: 0.0063 c. M: 0.0107 c. 
 1328: 267 302 759   N   T3   SD: 0.0016 c. M:-0.0021 c. 

 1 x x 2  S SD: 701.8235 cents
 2 x x 3  S SD: 203.7785 cents
 3 x x 4  S SD: 0.1315 cents
 4 x x 5  S SD: 111.8627 cents
 5 x 6:7  S SD: 66.2478 cents
 6 x 7:8  S SD: 26.7093 cents
 7 x 8:9  S SD: 32.7670 cents
 8 x 9:11    SD: 26.9957 cents
 9 x 10:12  S SD: 15.5245 cents
 10 x 11:13    SD: 32.7106 cents
 11:12 x 15  S SD: 31.8259 cents
 12:13:14:16  S SD: 21.9322 cents
 13:14:15:17    SD: 18.5788 cents
 14:15:16:19    SD: 13.4033 cents
 15:16:17:20    SD: 4.0057 cents
 48:51:54:64    SD: 3.5604 cents
 51:54:58:68    SD: 3.0979 cents
 54:57:61:72    SD: 2.3311 cents
 68:72:77:91    SD: 2.1902 cents
 69:73:78:92    SD: 0.9549 cents
 84:89:95:112    SD: 0.1438 cents
 519:550:587:692    SD: 0.1435 cents